An application of a subordination chain.
Singh, Sukhjit, Gupta, Sushma (2003)
International Journal of Mathematics and Mathematical Sciences
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Singh, Sukhjit, Gupta, Sushma (2003)
International Journal of Mathematics and Mathematical Sciences
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Adam Lecko (1998)
Annales Polonici Mathematici
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We consider the class 𝓩(k;w), k ∈ [0,2], w ∈ ℂ, of plane domains Ω called k-starlike with respect to the point w. An analytic characterization of regular and univalent functions f such that f(U) is in 𝓩(k;w), where w ∈ f(U), is presented. In particular, for k = 0 we obtain the well known analytic condition for a function f to be starlike w.r.t. w, i.e. to be regular and univalent in U and have f(U) starlike w.r.t. w ∈ f(U).
K. S. Padmanabhan, R. Bharati (1983)
Annales Polonici Mathematici
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Richard Fournier (1986)
Annales Polonici Mathematici
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Goodman, A.W. (1979)
International Journal of Mathematics and Mathematical Sciences
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M. Obradović (1985)
Matematički Vesnik
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Sumit Nagpal, V. Ravichandran (2012)
Annales Polonici Mathematici
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By using the theory of first-order differential subordination for functions with fixed initial coefficient, several well-known results for subclasses of univalent functions are improved by restricting the functions to have fixed second coefficient. The influence of the second coefficient of univalent functions becomes evident in the results obtained.
Bajpai, S.K., Dwivedi, S.P. (1980)
Publications de l'Institut Mathématique. Nouvelle Série
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Kim, Yong Chan, Jung, Il Bong (1997)
International Journal of Mathematics and Mathematical Sciences
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Shanmugam, T.N., Sivasubramanian, S., Silverman, H. (2006)
International Journal of Mathematics and Mathematical Sciences
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Samaris, N. (1996)
International Journal of Mathematics and Mathematical Sciences
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Ma, William, Minda, David (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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Tăut, Adela Olimpia, Oros, Georgia Irina, Şendruţiu, Roxana (2008)
Banach Journal of Mathematical Analysis [electronic only]
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G. Lakshma Reddy, K. S. Padmanabhan (1983)
Publications de l'Institut Mathématique
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